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Finding the Fourth Proportional to 3,116.46, 4,675.41 and 925.14

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Solution

The fourth proportional to 3,116.46, 4,675.41 and 925.14 is: 1,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.46 : 4,675.41 = 925.14 : x
  2. Step 2: Convert to fraction form
    3,116.46/4,675.41 = 925.14/x
  3. Step 3: Cross multiply
    3,116.46x = 4,675.41 × 925.14
  4. Step 4: Simplify right side
    3,116.46x = 4,325,408.81
  5. Step 5: Solve for x
    x = 4,325,408.81/3,116.46
  6. Step 6: Final answer
    x = 1,387.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.